# Sergey I. Kabanikhin

Position:

Principal Researcher

Education:

Corresponding Member, RAS, Professor, Doctor of Science (Physics and Mathematics)

Phone: +7 383 330 8353

Fax: +7 383 330 6687

E-mail: kabanikhin@sscc.ru

**Education:**

- Mechanics and Mathematics Department of the Novosibirsk State University (1975);
- Graduate School at the Computing Center, Siberian Branch, USSR Academy of Sciences (1978).

**Basic Research Interests:**

- Computational mathematics;
- Development, research and applications of numerical methods for solving inverse problems of mathematical physics.

**Current and previous research activities:**

**2015 – present:**Director, ICM&MG SB RAS;**2014:**Acting Director, ICM&MG SB RAS;**2014 – present**: Principal Researcher, Laboratory of Mathematical Problems of Geophysics, ICM&MG SB RAS;**2014:**Deputy Director of Research, ICM&MG SB RAS;**2009 – 2014:**Head of the Laboratory of Mathematical Problems of Geophysics, ICM&MG SB RAS;**1987 – present:**Leading Researcher, Principal Researcher (since 2009), Sobolev Institute of Mathematics SB RAS, Laboratory of Wave Processes;**1990 – 2009:**Leading Researcher, Sobolev Institute of Mathematics SB RAS;**1978 – 1987:**Junior Researcher, Senior Researcher, Head of Research Group, Leading Researcher at Computing Center, Siberian Branch, USSR Academy of Sciences;**1978 –****present:**assistant, associate professor, professor, head (since 2014 ) of the Department of Mathematical Methods of Geophysics, Mechanics and Mathematics Department, Novosibirsk State University.

**Academic Degrees and Titles:**

- PhD in physics and mathematics
**,**thesis title: "Some Inverse Problems for Hyperbolic Equations and Finite Difference Methods of their Study", thesis adviser: Corresponding Member V.G. Romanov (1978); - Doctor of Physics and Mathematics, thesis title: "Projection Difference Methods for Determining Coefficients of Hyperbolic Equations" (1990);
- Professor (1993);
- Corresponding Member, RAS (2011).

Academic degree:

Professor of Physics and Mathematics

Academic title:

Corresponding Member of the Russian Academy of Sciences

Research interests:

**Fields of Research:**

- Inverse problems of geophysics, acoustics, ecology, and medicine;
- Ill-posed and inverse problems for differential and integral equations;
- Theory and numerical methods for solving inverse and ill-posed problems.

**Research interests:**

- numerical methods for solving inverse and ill-posed problems;
- geophysics, including seismics, electrical prospecting, gravity prospecting, and magnetic prospecting;
- tomography;
- processing of physical measurements, interpretation of data.

**Major books:**

- Kabanikhin S. I. Projection-Difference Methods for Determining Coefficients of Hyperbolic Equations, Nauka, Novosibirsk, 1989.
- Romanov V. G. and Kabanikhin S. I., Inverse Problems of Geoelectrics, Nauka, Moscow, 1991.
- Romanov V. G. and Kabanikhin S. I.
__Inverse Problems for Maxwell’s Equations__, Utrecht, The Netherlands, VSP, 1994, 249 p. - Kabanikhin S. I. and Lorenzi A.
__Identification Problems for Wave Phenomena__, Utrecht, the Netherlands, VSP, 1999, 342 p. - Kabanikhin S. I., Satybaev A. D., Shishlenin M. A. Direct methods of solving inverse hyperbolic problems. 2004. VSP/BRILL, the Netherlands. 179 p.
- Kabanikhin S. I. Inverse and Ill-Posed Problems. Sibirskoe Nauchnoye Izdatel’stvo, Novosibirsk, 2008, 450 p.
- Kabanikhin S. I. Inverse and Ill-Posed Problems. Theory and Applications. De Gruyter, Germany, 2011, 459 p.

**Current positions:**

- Chairman, Academic Council, ICM&MG SB RAS;
- Member, Academic Councils, Sobolev Institute of Mathematics SB RAS and Mechanics and Mathematics Department of Novosibirsk State University;
- Chairman, Dissertation Council, ICM&MG SB RAS;
- Member, Bureau, RAS Department of Mathematical Sciences;
- Member, Presidium of SB RAS;
- Co-chairman, Program Committee of the annual international school-conference for young scientists “Theory and Numerical Methods of Solving Inverse and Ill-Posed Problems”, Novosibirsk, 2009-2018;
- Co-chairman, Program Committee of the international school-conference "Inverse Problems: Modeling and Simulation", Turkey, 2004, 2006, 2008, 2010, 2012, 2014, 2016;
- Editor–in-Chief, international series of books "Inverse and Ill-Posed Problems";
- Editor–in-Chief, international journal "Inverse and Ill-Posed Problems" (Web of Science and Scopus);
- Editor–in-Chief, journal “Numerical Analysis and Applications" (Web of Science and Scopus);
- Member, Editorial Boards of journals “Open Applied Mathematics Journal", “Numerical Functional Analysis and Optimization”, “Siberian Journal of Industrial Mathematics”;
- Head, projects of the Russian Foundation for Basic Research;
- Academic Adviser of 19 Candidates of Science (later 8 of them defended their doctoral theses) and 4 Doctors of Science.

**Major scientific results:**

- development and justification of numerical methods for solving inverse problems of electrodynamics used in justifying a new method of electrical prospecting (RF patent 2062489) based on excitation and registration of unsteady electromagnetic fields;
- investigation of new inverse problems of geophysics, acoustics, electrodynamics, obtaining of theorems of uniqueness and stability of solutions;
- development and justification of new numerical algorithms for solving inverse problems of geophysics, acoustics, and electrodynamics; creation of corresponding software packages;
- investigation of optimization methods for solving inverse and ill-posed problems, obtaining of estimates of convergence rate;
- obtaining of estimates of strong convergence of gradient methods for solving inverse problems of acoustics, electrodynamics, and elasticity theory on the basis of estimates of conditional stability; this allowed introducing specific rules for terminating iterations depending on data errors;
- construction of multidimensional analogs of Gelfand-Levitan and Krein equations used to create a software package for numerically solving multidimensional inverse problems of acoustics and elasticity theory.

**Teaching activities:**

**2017:**teacher of mathematics,**1990**– present: Professor, Novosibirsk State University;**1978**–**1990:**Associate Professor, Novosibirsk State University;**1977**–**1978:**teacher of mathematics, School of Physics and Mathematics, Novosibirsk.

**Scientific organization activities:**

- Member of Specialized Dissertation Councils of the Institute of Mathematics, the Institute of Computational Mathematics and Mathematical Geophysics (ICM&MG), and the Institute of Geology and Geophysics of the Siberian Branch of the Russian Academy of Sciences (SB RAS);
- Member of the Councils of Experts, the Russian Foundation for Basic Research (RFBR) on Earth’s Sciences and Informatics;
- Chairman of the Council of Young Scientists, Siberian Branch of the USSR Academy of Sciences (1985-1988).

**Scientific and teaching activities abroad (1984 – present):**

- Vienna, Innsbruck, and Linz Universities (Austria);
- Oxford, Cambridge, and Bristol Universities (England);
- Institute of Mathematics of the Bulgarian Academy of Sciences (Bulgaria);
- Karlsruhe, Bayreuth, and Chemnitz Universities (Germany);
- Milan University; Florence University, and Institute of Global Analysis, Perugia University;
- Abai Kazakh National Pedagogical University, Al-Farabi Kazakh National University, Satbayev Kazakh National Technical University, Kazakh-British Technical University (Almaty, Kazakhstan);
- Vancouver University (Canada);
- Hangzhou, Beijing, Shanghai, Nanjing, and Tianjin Universities (China);
- University of North Carolina (Charlotte, USA);
- Ankara, Kocaeli, Izmit, and Fethiye
- Institute of Geophysics (Prague, Bratislava, Czechoslovakia);
- Royal Institute of Technology (Stockholm, Sweden);
- Tokyo and Kyoto Universities (Japan).

19 PhDs and 8 Doctors of Science.

Author of 136 scientific publications including 8 books.

**Major publications:**

**Inverse and Ill-Posed Problems. Sibirskoe Nauchnoye Izdatel’stvo****, Novosibirsk, 2009;****Numerical regularization of multidimensional coefficient inverse problems.**Abstracts of the International Conference «Marchuk Scientific Readings». Akademgorodok, Novosibirsk, Russia. June 25 – July 14, 2017;**Numerical methods for solving inverse and ill-posed problems for elliptic and parabolic equations.**Abstracts of the International Conference «Marchuk Scientific Readings». Akademgorodok, Novosibirsk, Russia. June 25 – July 14, 2017;**Study of permittivity of borehole environment at the early stage of the formation process. Investigations of the Conditional ill-Posedness of Problems of Mathematical Physics**. – Novosibirsk: Computing Center of the Siberian Branch of the USSR Academy of Sciences, 1989. pp. 40-59;**Construction of a fundamental solution to a system of equations of elasticity theory.**Siberian Electronic Mathematical Reports, Vol. 11, 2014;**Singular decomposition in ill-posed problems.**Textbook for institutes of higher education. Ust-Kamenogorsk,__D. Serikbayev East Kazakhstan State Technical University__, Novosibirsk State University, 2014;**Algorithms and numerical methods for solving inverse and ill-posed problems.**Monograph. Astana, 2012;**Solution of the inverse problem of acoustics by the methods of Gelfand-Levitan**and**boundary control.**Inverse Problems and Information Technologies, 2003. 2. No. 1;**Inverse Problems of Geoelectrics**, Moscow: Nauka, 1991. p.304;**Finite difference regularization of a linearized inverse problem for a two-dimensional wave equation. Conditionally Well-Posed Problems**. Institute of Mathematics. Novosibirsk, Siberian Branch, USSR Academy of Sciences, 1987;**Inverse Problems of Electrodynamics.**Monograph. Novosibirsk, Computing Center, Siberian Branch, USSR Academy of Sciences, 1984;**On one statement of a two-dimensional problem for the equation**of**oscillations.**Ill-Posed Mathematical Problems and Geophysics Problems. Novosibirsk, Computing Center, Siberian Branch, USSR Academy of Sciences, 1976.

Scientific achievements (prizes, awards, grants):

May 25, 2017: honorary diploma, 60th Anniversary of the Siberian Branch, Russian Academy of Sciences.

May 18, 2017: commemorative silver medal, 60th Anniversary of the Siberian Branch, Russian Academy of Sciences.

June 7, 2016: Prize of the Eurasian Association on Inverse Problems (EIAP) for an outstanding contribution to the development of inverse problems and enhancement of cooperation between scientists of Eurasian countries.

17-01-20243: project of international conference on “Computational and Applied Mathematics 2017”.

17-51-540004: justification of existing numerical methods for solving inverse and ill-posed problems for elliptic and parabolic equations and development of new ones.

16-51-77011: project of Russian-British Seminar on “Quantitative Indefiniteness in Inverse Modeling”.

16-31-10314: project of eighth international school-conference for young scientists on “Theory and Numerical Methods for Solving Inverse and Ill-Posed Problems”.

16-01-20522: project of second international school-conference on “Mathematical Simulation and High Performance Computing in Bioinformatics, Biomedicine, and Biotechnology”.

16-29-15120: Development of algorithms and software of multiscale simulation of hydrocarbon deposits using supercomputers.

15-31-10413: project of seventh international school-conference for young scientists on “Theory and Numerical Methods for Solving Inverse and Ill-Posed Problems” devoted to the 90th anniversary of Gury I. Marchuk.

15-01-20772: project of international conference on “Important Problems of Computational and Applied Mathematics 2015” (IPCAM-2015) devoted to the 90th anniversary of Gury I. Marchuk.

15-01-09230: Construction and investigation of analogs of Gelfand, Levitan, and Krein equations and numerical methods of their solution as applied to multidimensional inverse problems of acoustics, electrodynamics, and elasticity theory.

14-01-06035: project of international conference on “Mathematical Simulation and High Performance Computing in Bioinformatics, Biomedicine, and Biotechnology”.

14-01-06815: project of international school-conference for young scientists on "Modern Problems of Applied Mathematics and Informatics" devoted to the 50th anniversary of ICM&MG SB RAS (former Computing Center).

13-01-06834: organization of fifth international school-conference for young scientists on "Theory and Numerical Methods for Solving Inverse and Ill-Posed Problems".

E-mail:

Work phone:

+7(383)330-83-53; FAX: +7(383)330-66-87.

Internal phone:

2-022

Room number:

3-461

Действующий сотрудник:

Да